Transcript Sixth Grade PowerPoint - Part 2 Practice Questions

Grade 6
Math
ISTEP+ Part II
Weight 70%
Robert Trammel
Math Consultant
1
Message to Teachers
The PowerPoint Presentation is intended to help students to become familiar with
online computer-type questions. There are five days of instructional materials
that can be easily stretched to six or seven days upon the discretion of the
teacher. This PowerPoint Presentation can be used as a whole-class instructional
tool or in small group settings. The information is based upon standards by rating:

*
Grade Level Standard Potentially on ISTEP+ Part II only
Grade Level Standard Potentially on ISTEP+ Parts I&II
* + Very Important Grade Level Standard Potentially on ISTEP+ Parts I&II
+ Very Important Grade Level Standard Potentially on ISTEP+ Part II only
2
Question Types on ISTEP+…… Part II
ISTEP+ Part II has a variety of question types. The samples that are
provided in this document will illustrate the different forms or types
of problems that you will see on ISTEP+ Part II.
•
•
•
•
Multiple Choice…………….select the one correct answer from a choice of 4.
Technology Enhanced……select multiple right answers from a list of 5-7 choices.
Short Answer…………………answer must be typed on the answer blank provided.
Drag and Drop……………….possible answers are in a menu…….drag and drop
answer choices with a mouse to a certain location.
3
Directions:
•
The problems that follow will be similar to the types of questions on the online version
of ISTEP+.
•
Some problems calculators are permitted.
If you see this icon you are allowed to
use a calculator.
•
Some problems require the use of the ISTEP+ reference sheet.
If you see this icon you are allowed to
ISTEP
use the ISTEP reference sheet.
Reference
•
Many of the problems will require some
pencil/paper work to find the answer.
So….have a pencil and paper handy.
Sheet
4
5
+ 6.NS.3
Compare and order rational numbers and plot them on a number line. Write,
interpret, and explain statements of order for rational numbers in real-world contexts.
+ 6.NS.5
Know commonly used fractions (halves, thirds, fourths, fifths, eighths, tenths) and
their decimal and percent equivalents. Convert between any two representations
(fractions, decimals, percents) of positive rational numbers without the use of a
calculator.
*+ 6.NS.10
Use reasoning involving rates and ratios to model real-world and other mathematical
problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double
number line diagrams, or equations).
6
+ 6.NS.3
Which statement(s) is/are true?
Select all that apply.
A
1
2
<
3
8
B
1
2
<
3
4
C
3
5
<
6
10
D
3
5
>
6
10
E
2
3
<
3
4
F
2
3
>
3
4
7
+ 6.NS.3
These five rational numbers are plotted on a horizontal number line.
𝟐 𝟕
𝟒
𝟕
𝟒
- , ,- ,
,𝟑
𝟖
𝟓
𝟏𝟎
𝟑
Which statement about the locations on the number line of the rational
numbers is true? Darken the correct letter choice.
A -
𝟐
𝟑
is farthest to the left,
𝟕
𝟖
and is farthest to the right.
B -
𝟒
𝟑
is farthest to the left,
𝟕
𝟖
and is farthest to the right.
C -
𝟐
𝟑
is farthest to the left,
𝟕
𝟏𝟎
and is farthest to the right.
D -
𝟒
𝟑
is farthest to the left,
𝟕
𝟏𝟎
and is farthest to the right.
8
+ 6.NS.5
Which statement(s) is/are true?
Select all that apply.
A
1
2
= 0.5
B
0.75 =
3
4
C
60% =
6
100
D
E
F
.25 =
55% =
3
8
1
5
11
20
= .37
9
+ 6.NS.5
Complete the table to make equivalent expressions.
Select answers for the table from the Selection Menu.
Not all the items in the Selection Menu will be used.
Drag and Drop answers into the table cells.
Selection Menu
Equivalent Expressions
Fraction
Decimal
Percent
.5
33%
.75
.3
50%
1
4
3
5
1
𝟑
𝟒
33 3 %
60%
𝟓
𝟖
1
3
1
2
.625
62 .5 %
75 %
.6
10
*+ 6.NS.10
Which statement(s) is/are true?
Select all that apply.
Jim’s lawnmower gas cap shows a 16:1 fuel mixture which means 16 parts of
gasoline to 1 part of oil. If Jim puts 1 gallon(128 ounces) of gasoline in the
lawnmower, how many ounces of oil should Jim add to make the mixture
correct?
ANSWER:
Jim needs to add _________ ounces of oil.
11
 6.NS.7
What is the greatest common factor of 16 and 48?
Darken the correct letter choice.
A
2
B
4
C
8
D 16
12
 6.NS.8
This table shows the numbers of books, by type, checked out from the school
library on Monday.
Book Type
Number of Books
Mystery
24
Nonfiction
18
Adventure
12
Humor
16
What is the ratio of mystery books checked out to nonfiction books checked out?
Darken the correct letter choice.
A 1 to 2
B
2 to 1
C
3 to 4
D 4 to 3
13
+ 6.C.1
Divide multi-digit whole numbers fluently using a standard algorithmic approach.
+ 6.C.2
Compute with positive fractions and positive decimals fluently using a standard
algorithmic approach.
*+ 6.C.6
Apply the order of operations and properties of operations (identity, inverse,
commutative properties of addition and multiplication, associative properties of
addition and multiplication, and distributive property) to evaluate numerical
expressions with nonnegative rational numbers, including those using grouping
symbols, such as parentheses, and involving whole number exponents. Justify each
step in the process.
14
+ 6.C.1
Evaluate:
14 3 3 6
Select the correct answer.
A 23 r 4
B 24
C 23 r 5
D 25
15
+ 6.C.2
Evaluate: 2
3
5
+ 1
7
10
Select the correct answer.
A 3
10
15
C 3
2
3
B 4
13
10
D 4
3
10
16
- 6.C.4
Carol makes 9
1
cups
3
of snack mix. She puts all the snack mix into
plastic bags. She puts
2
3
cup of the snack mix in each bag.
How many plastic bags does Carol need?
Enter your answer blank below.
Answer___________bags
17
+ 6.C.6
Karen was asked by her teacher to evaluate this problem:
1 + 2(9 – 1) ÷ 4
Which choice shows the correct method and the correct answer for Karen’s
problem?
A
1 + 2(9 – 1) ÷ 4 =
3(9 - 1) ÷ 4 =
3(8) ÷ 4 =
24 ÷ 4 = 6
Answer 6
B
1 + 2(9 – 1) ÷ 4 =
1 + 2(8) ÷ 4 =
1+2x2=
3x2=6
Answer 6
C
1 + 2(9 – 1) ÷ 4 =
1 + 2(8) ÷ 4 =
1 + 16 ÷ 4 =
1+4=5
Answer 5
D
1 + 2(9 – 1) ÷ 4 =
1 + 2(8) ÷ 4 =
1 + 2(8) ÷ 4 =
1+8=9
Answer 9
18
+ 6.C.6
For each expression, Drag and drop the correct answer from the
Selection Menu to the blank. Not all the items in the Selection Menu
will be used.
Selection Menu
(1 + 23) ÷ 32 + 4 = _____________
20 ÷ 5 x 2 + 42 - 10 = _____________
1
6
5
14
7
10
8
13
10
0
5
3
10
20
10 + 4 – 32 + 5(4 – 3)3= _____________
19
 6.C.5
Which equations with exponential expressions are true?
Select all that apply.
A
33 = 3 · 3
B
52 = 5 · 5
C
54 = 4 · 4 · 4 · 4 · 4
D
7 · 7 · 7 · 7 · 7 · 7 = 67
E
7 · 7 · 7 · 7 · 7 · 7 = 76
F
7 · 7 · 7 · 7 · 7 · 7 = 77
20
*+ 6.C.3
Thomas buys a case of bottled water. A case contains 36 bottles
of water and costs $4.69. Thomas will sell each bottle of water
for $0.75 at a school event.
How much profit, in dollars, will Thomas earn if he sells all the
bottles of water? Enter your answer in the blank below.
Answer $_________ profit
21
22
+ 6.AF.1
Evaluate expressions for specific values of their variables, including expressions with
whole-number exponents and those that arise from formulas used in real-world
problems.
 6.AF.2
Apply the properties of operations (e.g., identity, inverse, commutative, associative,
distributive properties) to create equivalent linear expressions and to justify whether
two linear expressions are equivalent when the two expressions name the same
number regardless of which value is substituted into them.
*+ 6.AF.5
Solve equations of the form x + p = q, x - p = q, px = q, and x/p = q fluently for cases in
which p, q and x are all nonnegative rational numbers. Represent real world problems
using equations of these forms and solve such problems.
*+ 6.AF.10
Use variables to represent two quantities in a proportional relationship in a real-world
problem; write an equation to express one quantity, the dependent variable, in terms
of the other quantity, the independent variable. Analyze the relationship between the
dependent and independent variables using graphs and tables, and relate these to the
23
equation.
+ 6.AF.1
Evaluate:
23 + 9 - 32
Select the correct answer.
A 8
B 9
C
0
D 3
24
+ 6.AF.1
What is the value of……… a2 + 3b ÷ c − 2d
when a = 3, b = 8, c = 2 d = 5?
Select the correct answer.
A 8
B 10
C
11
D 7
25
 6.AF.2
Which statements or equations are true? Select all that apply.
A (5 + 6) - x = x - (5 + 6)
B (5 + 6) + x = x + (5 + 6)
C 5(x + 3) = 5x + 15
D 5·2= 2÷5
E 5÷x=5(
F
1
𝑥
)
7(x – 10) = 7 · x - 10
26
*+ 6.AF.5
Solve for “x”……………………………………………………. x - 7 = 4
Darken the correct letter choice.
A 3
B -3
C 11
D -11
27
*+ 6.AF.10
Linda pays $30 every month for cable television.
Let y = cost for cable television and let x = number of months
Which equation shows Linda’s total cable television cost?
Darken the correct letter choice.
A
y = x + 30
B
y = x ÷ 30
C
y = 30x
D
y = x - 30
28
* 6.AF.3
ISTEP
Reference
Sheet
Joanne buys a rectangular rug with an area
7
35
4
of square meters.
The length of the rug is meters. What is the width, in meters, of
2
the rug? Darken the correct letter choice.
A
C
5
8
5
2
meters
meters
B
7
8
meters
D
7
2
meters
29
* 6.AF.3
1
4
During a sale, all pillows are off the regular price.
Which expression shows the amount of money saved on a pillow
that had a regular price of d dollars?
Darken the collect letter choice.
A d÷4
B dx4
C d+4
D d-4
30
 6.AF.2
Select each expression that is equivalent to 3(n + 6) .
Select all that apply.
A
3n + 6
B
3n + 18
C
2n + 2 + n + 4
D
2(n + 6) + (n + 6)
E
2(n + 6) + n
31
* 6.AF.3
Cirrus clouds form at a height of more than 6,000 meters above
Earth. Which inequality represents h, the height, in meters, of
cirrus clouds? Darken the correct letter choice.
A
6,000 > h
B
6,000 ≥ h
C 6,000 < h
D 6,000 ≤ h
32
33
 6.GM.1
Convert between measurement systems (English to metric and metric to English) given
conversion factors, and use these conversions in solving real-world problems.
 6.GM.2
Know that the sum of the interior angles of any triangle is 180º and that the sum of
the interior angles of any quadrilateral is 360º. Use this information to solve real-world
and mathematical problems.
* 6.GM.4
Find the area of complex shapes composed of polygons by composing or decomposing
into simple shapes; apply this technique to solve real-world and other mathematical
problems.
* 6.GM.5
Find the volume of a right rectangular prism with fractional edge lengths using unit
cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete
materials), and show that the volume is the same as would be found by multiplying
the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes
of right rectangular prisms with fractional edge lengths to solve real-world and other
mathematical problems.
34
 6.GM.1
ISTEP
Reference
Sheet
Jerry has 10 inches of string
How many centimeters of string does Jerry have?
Answer:_______________ centimeters
35
6.GM.2
Find the missing angle measurement for “x.”
Darken the correct letter choice.
90°
x
60°
A
30°
B
40°
C
50°
D
60°
36
 6.GM.2
Find the angle measure of angle x in degrees for the shape shown.
Darken the correct letter choice.
130°
45°
A
80°
B
50°
C
120°
D
150°
105°
x
37
 6.GM.2
Find the angle measure of angle x in degrees for the shape shown.
Darken the correct letter choice.
x
76°
A
82°
B
62°
C
242°
D
282°
42°
38
ISTEP
* 6.GM.4
The front view of a house has the shape as shown.
Find the total area of this shape.
Reference
Sheet
10 feet
Front View of a House
18 feet
20 feet
Answer_______________ square feet
39
ISTEP
* 6.GM.5
Reference
Sheet
The right rectangular prism is shown.
What is the volume of the shape?
6
5½
10 ½
Select the correct answer.
A
22 cubic units
C 345.5 cubic units
B
32 cubic units
D 346.5 cubic units
40
 6.GM.2
For each shape, Drag and drop the correct angle measure for x,
in degrees, from the Selection Menu to the blank.
Not all the items in the Selection Menu will be used.
18
Selection Menu
x
x = _________
20
162°
45°
125°
65°
63°
115°
x = _________
127°
322°
142°
225°
50°
55°
95°
x
71°
64°
x
x = _________
41
ISTEP
Reference
Sheet
* 6.GM.5
The right rectangular prism is shown.
What is the volume of the shape?
5 inches
3
3 inches
1
4
4 inches
2
Answer: _____________________ cubic inches
42
 6.GM.1
ISTEP
Reference
Sheet
How many inches are in 2 miles? Darken the correct letter choice.
A
10, 560 inches
B
63,360 inches
C 126,720 inches
D 253,440 inches
43
44
+ 6.DS.3
Formulate statistical questions; collect and organize the data (e.g., using technology);
display and interpret the data with graphical representations (e.g., using technology).
 6.D.4
Summarize numerical data sets in relation to their context in multiple ways, such as:
report the number of observations; describe the nature of the attribute under
investigation, including how it was measured and its units of measurement; determine
quantitative measures of center (mean and/or median) and spread (range and
interquartile range), as well as describe any overall pattern and any striking deviations
from the overall pattern with reference to the context in which the data were
gathered; and relate the choice of measures of center and spread to the shape of the
data distribution and the context in which the data were gathered.
45
+ 6.DS.3
Robin was gathering information about the 6th grade class.
The question she was researching was:
How many 6th grade students play basketball?
Which of these is a statistical question Robin could ask to help
find the answer?
Darken the correct letter choice.
A How many students are in the school?
B How many 6th graders go to school basketball games?
C How many 6th graders participate in basketball games?
D How many 6th graders are at least 5 feet 4 inches tall?
46
+ 6.DS.4
The set of numbers below shows the weights, in pounds, of
different koalas at the zoo.
13, 15, 18, 11, 20, 16, 12
Which statements are correct about the weights of the koalas?
Select all that apply.
A The mean and median are the same value.
B The mean is greater than the median.
C The median is greater than the mean.
D The range is 9.
E
The mode is 18
47
+ 6.DS.4
The median number of points scored by 9 players in a basketball
game is 12. The range of the numbers of points scored by the
same basketball players in the same game is 7.
Which statements are true based on the given information?
Select all that apply.
A At least one player scored 12 points.
B The greatest number of points scored is less than 19 points.
C The mean number of points scored is greater than 12 points.
D If the greatest number of points scored is 16, then the least number of
points scored is 4.
48